Title :
Analysis of dispersion properties of microstructured fibers with Kerr nonlinearity and with saturable gain by nonlinear eigenmode expansion
Author :
Konukhov, Andrey I. ; Melnikov, Leonid A.
Author_Institution :
Dept. of Laser & Comput. Phys., Saratov State Univ., Russia
Abstract :
In the present paper a microstructured optical fiber composed from a solid core surrounded by a photonic crystal cladding region is considered. The analysis of nonlinear eigenmodes of the microstructured fiber is presented. The calculation of the nonlinear eigenmodes allows in the first order to define effect of strong self-focusing and saturable gain to dispersion and gain properties of the fibre. For the expansion of the modal profiles on the set of Laguerre-Gaussian functions was used. The properties of azimuthal symmetry of the photonic crystal cladding allow to reduce the number of governed functions in comparison with the method based on the field approximation by Hermite-Gaussian functions.
Keywords :
Gaussian processes; eigenvalues and eigenfunctions; optical Kerr effect; optical fibre dispersion; optical saturation; photonic crystals; Kerr nonlinearity effect; Laguerre-Gaussian functions; azimuthal symmetry; dispersion properties; microstructured fibers; nonlinear eigenmode expansion; photonic crystal cladding region; saturable gain; self-focusing; Fiber lasers; Fourier transforms; Laser theory; Nonlinear equations; Optical fiber dispersion; Optical waveguides; Photonic crystal fibers; Photonic crystals; Propagation constant; Refractive index;
Conference_Titel :
Laser and Fiber-Optical Networks Modeling, 2003. Proceedings of LFNM 2003. 5th International Workshop on
Print_ISBN :
0-7803-7709-5
DOI :
10.1109/LFNM.2003.1246118
